# Let . Then which of the following is true? Option 1) Option 2) Option 3)   is correct Option 4) principle of mathematical induction can be used to prove the formula

As we learnt in

Steps of Mathematical Induction (Verification step) -

Step 1: Verification step

Actual verification of the proposition of the starting value

- wherein

is divisible by 7

Put n=1, It Satisfies.

and

Steps of Mathematical Induction (Induction Step) -

Step 2: Induction Step

Assuming the proposition to be true for n=k, and proving it is true for value

-

and

Steps of Mathematical Induction (Generalization Step) -

Combine Verification step and Induction step

is true and  is true for  assuming it is true for

-

Which is not true

is not true

S (k) is true

Option 1)

This option is incorrect.

Option 2)

This option is correct.

Option 3)

is correct

This option is incorrect.

Option 4)

principle of mathematical induction can be used to prove the formula

This option is incorrect.

Exams
Articles
Questions